like Townsville Electronics Service Centre

STACKING FOR GAIN

The following information is supplied courtesy of Matchmaster

STACKING FOR GAIN
One method of increasing the gain of an antenna system is to stack more than one of the same type of antenna.
In marginal areas this strategy can be the only way to raise the signal to noise ratio to a level where effective amplification is possible.
Antennas can be stacked in either plane, vertical fig.1 and horizontal fig.2.

Figure 1.

Figure 2.

A stacking distance of 0.5 times the wavelength
will give a nominal gain increase of 2.5dB.
If the boom length of the antenna is greater than
0.5 of the wavelength then a stacking distance
equal to boom length will give a gain of approx. 3dB.
Reducing the stacking distance to 0.75 times the
boom length usually results in a corresponding drop
in gain to approx. 2.75dB.

Stacking for Interference
Horizontal stacking can be an effective means of reducing adjacent channel interference. For instance, some Sydney viewers have difficulty receiving Wollongong channels 53, 56 and 59 in the face of strong adjacent channel interference from Kings Cross channels 52, 55 and 58.
It can be shown that for a given angle between the desired and undesired transmitter site, see fig.3, two identical antennas, horizontally stacked at distance "d", fig. 4, will have equal signals of opposite phase across their respective terminals. In theory the resultant signal strength should be zero, however in practice you may achieve 20dB or, with careful adjustment, 35-40dB.

Figure 3. Figure 4.
The formula for calculating the stacking distance is: d = ___l__
  2 Sin q
Where d = stacking distance (m)
l = wavelength of interference signal (m)
q = angle (°) between wanted and unwanted signals.

Assuming our original problem, let's suppose we wish to receive ch. 59 Wollongong with adjacent channel interference from ch. 58 at Kings Cross and, we calculate the angle between the two sites to be 110 degrees.
From the above table we find the wavelength of ch. 58 to be 0.407m.

Thus d = 0.407 = 0.217m or 217mm
  1.879  

The connecting co-axial cables should be of equal length and coupled together using a HL15 high isolation outdoor coupler.

The stacking distance becomes impractical at angles smaller than 20 and greater than 160 degrees. However, as the angle approaches 180 degrees the method outlined in the next article is more appropriate.

STAGGER STACKING
Adjacent channel interference caused by signals from the rear can be minimised by "stagger stacking", that is, by stacking two identical antennas horizontally, with one antenna positioned 1/4 wavelength behind the other. Refer fig. 5.

It can readily be seen that the unwanted signal will appear across the terminals of both antennas except that the waveform at A, the leading antenna, will be lagging by 90° or, 1/4 wavelength behind antenna B. To complete the excercise the two connecting cables are identical also, except that cable "L" from antenna A is 1/4 wavelength longer than cable "l" from antenna B. This causes a further delay of 90° making the total phase difference at the junction of the two cables 180° which, in an ideal world, would mean that the two signals would cancel each other out. The reality is that even with the most careful adjustment of the relative positions of the two antennas and, proper calculation of the relative lengths of the two cables the best attenuation possible would be a not inconsiderable 35-40dB.

Stagger distance x = _l_   Cable differential L-l = lx Vf
  4     4
Figure. 5. Where x = stagger distance
l = wavelength of interfering signal
L = longer length of cable (antenna A)
l = shorter length of cable (antenna B)
Vf = velocity factor of the co-axial connecting
cable(RG6=82%)

For the offending channel 58 with a wavelength of 0.407m, the stagger distance is 102mm and the
L-l differential is 82mm. Therefore if "L" was chosen to be 500mm then "l" would be 82mm shorter or,
412mm.

Ghosts Causes and Cures


Lagging Ghosts - Ghosts on the right hand side of the picture
The majority of ghosting falls into this category and is caused by transmissions which are reflected off
large objects such as tall buildings, bridges or hills, and thus travel further and, arrive later. The time
interval between the primary signal and the ghost(s) determines how far the secondary pictures are
displaced to the right.
If the speed of light is 300Mm per second then it stands to reason that if a secondary signal arrives at
the antenna lms later than the original transmission then it must have travelled an extra 300m. If we relate
this to a 48cm receiver which has a physical width of 420mm and an electrical width of 57.5ms, (64ms
line length less 10% flyback time), then our 1ms delay corresponds to a ghost image spacing of 7.3mm.
Mismatch between antenna and feeder, or feeder and receiver, may also be responsible for lagging
ghosts.

Leading Ghosts - Ghosts on the left hand side of the picture
Usually experienced in areas close to the transmitter. Can be due to pick up by the receiver chassis, 240V
mains cable, 300 ohm ribbon (on older installations), or even by poorly shielded co-axial cable.

Prevention of Ghosts
For lagging ghosts the problem can be minimised by selection of an antenna with higher gain coupled
with a narrower frontal lobe and, perhaps a better front to back ratio.